4347
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7680
- Proper Divisor Sum (Aliquot Sum)
- 3333
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2376
- Möbius Function
- 0
- Radical
- 483
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- yes
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 183
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=42A000566
- Number of n-node unrooted quartic trees; number of n-carbon alkanes C(n)H(2n+2) ignoring stereoisomers.at n=15A000602
- Denominators of expansion of sinh x / sin x.at n=22A006656
- Number of ways to write 1 as ordered sum of n powers of 1/2, allowing repeats.at n=6A007178
- Juxtapose pairs of primes (starting at 1).at n=7A007794
- Number of unrooted quartic trees with n (unlabeled) nodes and possessing a centroid; number of n-carbon alkanes C(n)H(2n +2) with a centroid ignoring stereoisomers.at n=14A010372
- Odd pentagonal numbers.at n=27A014632
- Odd heptagonal numbers (A000566).at n=21A014637
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly five 1's.at n=37A020441
- a(n) = floor(10^5/n).at n=22A033427
- Concatenate the n-th and (n+1)st prime.at n=13A045533
- Heptagonal pentagonal numbers.at n=1A048900
- Pentagonal numbers with even index.at n=27A049452
- Concatenation of n in base 10 down up to base 2 is prime, all numbers are interpreted as decimals.at n=37A054257
- Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n + 7^n + 6^n + 5^n + 4^n.at n=28A057285
- Numbers with no zeros in their cubes such that the products of the digits of their cubes are also cubes.at n=28A067071
- Number of octagonal regions in regular n-gon with all diagonals drawn.at n=55A067155
- Numbers k such that sigma(k^2 + 1) == 0 (mod k).at n=23A067719
- Number of ways to tile a 4 X n room with 1x2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=46A068923
- a(1) = 16; a(n+1) = sum of a(n) and (a(n) written in base 2 and reversed).at n=11A070869